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Simplifying 4(1.5x + -2 + 2x + -2x) + -2x = 0 Reorder the terms: 4(-2 + 1.5x + 2x + -2x) + -2x = 0 Combine like terms: 1.5x + 2x = 3.5x 4(-2 + 3.5x + -2x) + -2x = 0 Combine like terms: 3.5x + -2x = 1.5x 4(-2 + 1.5x) + -2x = 0 (-2 * 4 + 1.5x * 4) + -2x = 0 (-8 + 6x) + -2x = 0 Combine like terms: 6x + -2x = 4x -8 + 4x = 0 Solving -8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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